diff --git a/environment.yml b/environment.yml
index 625694f09023d33963cb47334fba0da897357c4c..9fc1835054423bd772e273bcf3182c142c6ffb2b 100644
--- a/environment.yml
+++ b/environment.yml
@@ -16,6 +16,6 @@ dependencies:
 - pip
 - pip:
   - bmcs-utils==0.0.31a0
-  - bmcs-ibvpy==0.0.21a0
+  - bmcs-ibvpy==0.0.22a0
   - bmcs-cross-section==0.0.54a0
   - bmcs-beam==0.0.17a0
\ No newline at end of file
diff --git a/tour5_damage_bond/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb b/tour5_damage_bond/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb
index 5b3876b4d657c4a7d2e9e748034313fb81d3dbaf..e2e7ec49b266410a6245dc25373fd2bb6d6910e4 100644
--- a/tour5_damage_bond/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb
+++ b/tour5_damage_bond/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb
@@ -17,8 +17,47 @@
    "source": [
     "# **5.1 Interface behavior governed by damage**\n",
     "\n",
-    "[![title](../fig/bmcs_video.png)](https://moodle.rwth-aachen.de/mod/page/view.php?id=551838) part 1\n",
-    "\n",
+    "<!-- [![title](../fig/bmcs_video.png)](https://moodle.rwth-aachen.de/mod/page/view.php?id=551838)&nbsp;part 1 -->"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/jpeg": 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\n",
+      "text/html": [
+       "\n",
+       "        <iframe\n",
+       "            width=\"400\"\n",
+       "            height=\"300\"\n",
+       "            src=\"https://www.youtube.com/embed/6YZl4BOUsLk\"\n",
+       "            frameborder=\"0\"\n",
+       "            allowfullscreen\n",
+       "            \n",
+       "        ></iframe>\n",
+       "        "
+      ],
+      "text/plain": [
+       "<IPython.lib.display.YouTubeVideo at 0x7f31f33c8bb0>"
+      ]
+     },
+     "execution_count": 28,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "from IPython.display import YouTubeVideo\n",
+    "YouTubeVideo('6YZl4BOUsLk')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
     "<div style=\"background-color:lightgray;text-align:left\"> <img src=\"../icons/start_flag.png\" alt=\"Previous trip\" width=\"50\" height=\"50\">\n",
     "    &nbsp; &nbsp; <b>Starting point</b> </div> "
    ]
@@ -257,7 +296,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 1,
+   "execution_count": 29,
    "metadata": {
     "slideshow": {
      "slide_type": "fragment"
@@ -287,7 +326,40 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "[![title](../fig/bmcs_video.png)](https://moodle.rwth-aachen.de/mod/page/view.php?id=551838)&nbsp;part 2"
+    "<!-- [![title](../fig/bmcs_video.png)](https://moodle.rwth-aachen.de/mod/page/view.php?id=551838)&nbsp;part 2 -->"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/jpeg": 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\n",
+      "text/html": [
+       "\n",
+       "        <iframe\n",
+       "            width=\"400\"\n",
+       "            height=\"300\"\n",
+       "            src=\"https://www.youtube.com/embed/fVjFN-M9V0M\"\n",
+       "            frameborder=\"0\"\n",
+       "            allowfullscreen\n",
+       "            \n",
+       "        ></iframe>\n",
+       "        "
+      ],
+      "text/plain": [
+       "<IPython.lib.display.YouTubeVideo at 0x7f31f30d1e80>"
+      ]
+     },
+     "execution_count": 32,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "YouTubeVideo('fVjFN-M9V0M')"
    ]
   },
   {
@@ -341,7 +413,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 33,
    "metadata": {},
    "outputs": [
     {
@@ -350,10 +422,10 @@
        "$\\displaystyle \\begin{cases} 0 & \\text{for}\\: \\kappa < \\kappa_{0} \\\\\\frac{\\kappa - \\kappa_{0}}{- \\kappa_{0} + \\kappa_{u}} & \\text{for}\\: \\kappa < \\kappa_{u} \\\\1 & \\text{otherwise} \\end{cases}$"
       ],
       "text/plain": [
-       "<ibvpy.tmodel.mats_damage_fn.LinearDamageFn at 0x7fc382f9c9f0>"
+       "<ibvpy.tmodel.mats_damage_fn.LinearDamageFn at 0x7f31f33ad3b0>"
       ]
      },
-     "execution_count": 2,
+     "execution_count": 33,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -373,13 +445,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 34,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "1fe33f0a113b4a5dafe74d8e26685826",
+       "model_id": "f5bace94d8784524a61e65d822e5329e",
        "version_major": 2,
        "version_minor": 0
       },
@@ -406,13 +478,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 35,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "fa1c0badcbab4303a242bbe453ca5e7e",
+       "model_id": "05238cd42ac94a09b507a907640b04ae",
        "version_major": 2,
        "version_minor": 0
       },
@@ -517,7 +589,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 36,
    "metadata": {},
    "outputs": [
     {
@@ -526,10 +598,10 @@
        "$\\displaystyle \\begin{cases} 0 & \\text{for}\\: \\kappa < 0 \\\\1 - e^{- \\left(\\frac{\\kappa}{\\lambda}\\right)^{m}} & \\text{otherwise} \\end{cases}$"
       ],
       "text/plain": [
-       "<ibvpy.tmodel.mats_damage_fn.WeibullDamageFn at 0x7fc37ab96310>"
+       "<ibvpy.tmodel.mats_damage_fn.WeibullDamageFn at 0x7f31f3053220>"
       ]
      },
-     "execution_count": 5,
+     "execution_count": 36,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -550,13 +622,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 37,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "909e09fd8e8743d69005b27fc62c7e98",
+       "model_id": "6fdd3f63731d4dc7a1945a56448ee9e4",
        "version_major": 2,
        "version_minor": 0
       },
@@ -581,13 +653,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 38,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "2851b7ff887946808105f5cf649d0bc4",
+       "model_id": "dcde2433af5345299f5cf2d5992d5d13",
        "version_major": 2,
        "version_minor": 0
       },
@@ -644,7 +716,40 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "[![title](../fig/bmcs_video.png)](https://moodle.rwth-aachen.de/mod/page/view.php?id=551838)&nbsp;part 3"
+    "<!-- [![title](../fig/bmcs_video.png)](https://moodle.rwth-aachen.de/mod/page/view.php?id=551838)&nbsp;part 3 -->"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 40,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
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\n",
+      "text/html": [
+       "\n",
+       "        <iframe\n",
+       "            width=\"400\"\n",
+       "            height=\"300\"\n",
+       "            src=\"https://www.youtube.com/embed/oiB8bhhvOQo\"\n",
+       "            frameborder=\"0\"\n",
+       "            allowfullscreen\n",
+       "            \n",
+       "        ></iframe>\n",
+       "        "
+      ],
+      "text/plain": [
+       "<IPython.lib.display.YouTubeVideo at 0x7f31f13d10d0>"
+      ]
+     },
+     "execution_count": 40,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "YouTubeVideo('oiB8bhhvOQo')"
    ]
   },
   {
@@ -668,7 +773,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 41,
    "metadata": {},
    "outputs": [
     {
@@ -682,7 +787,7 @@
        "1 - ℯ  "
       ]
      },
-     "execution_count": 8,
+     "execution_count": 41,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -703,7 +808,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 42,
    "metadata": {
     "hide_input": true,
     "slideshow": {
@@ -714,7 +819,7 @@
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "06c4b8a34daa4542a0a7c9e2bc107393",
+       "model_id": "50675aac05d148b9943ab56cbafe831f",
        "version_major": 2,
        "version_minor": 0
       },
@@ -780,7 +885,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 43,
    "metadata": {},
    "outputs": [
     {
@@ -789,10 +894,10 @@
        "$\\displaystyle \\begin{cases} 0 & \\text{for}\\: \\kappa \\leq \\kappa_{0} \\\\1 - \\frac{\\kappa_{0} e^{\\frac{- \\kappa + \\kappa_{0}}{- \\kappa_{0} + \\kappa_\\mathrm{f}}}}{\\kappa} & \\text{otherwise} \\end{cases}$"
       ],
       "text/plain": [
-       "<ibvpy.tmodel.mats_damage_fn.ExpSlopeDamageFn at 0x7fc37ab96450>"
+       "<ibvpy.tmodel.mats_damage_fn.ExpSlopeDamageFn at 0x7f31f164fef0>"
       ]
      },
-     "execution_count": 10,
+     "execution_count": 43,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -805,13 +910,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 44,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "553af540dbf54a6da749361253d0de39",
+       "model_id": "aeba15ba04f44388ad9aad952224c4a0",
        "version_major": 2,
        "version_minor": 0
       },
@@ -872,7 +977,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 45,
    "metadata": {},
    "outputs": [
     {
@@ -881,10 +986,10 @@
        "$\\displaystyle \\begin{cases} 0 & \\text{for}\\: \\kappa \\leq \\kappa_{0} \\\\1 - \\begin{cases} 1 & \\text{for}\\: \\kappa < \\kappa_{0} \\\\\\frac{\\kappa_{0} \\cdot \\left(1 - \\frac{1 - e^{- \\frac{\\alpha \\left(\\kappa - \\kappa_{0}\\right)}{- \\kappa_{0} + \\kappa_{u}}}}{1 - e^{- \\alpha}}\\right)}{\\kappa} & \\text{for}\\: \\kappa < \\kappa_{u} \\\\0 & \\text{otherwise} \\end{cases} & \\text{otherwise} \\end{cases}$"
       ],
       "text/plain": [
-       "<ibvpy.tmodel.mats_damage_fn.AbaqusDamageFn at 0x7fc37aae1040>"
+       "<ibvpy.tmodel.mats_damage_fn.AbaqusDamageFn at 0x7f31f15b57c0>"
       ]
      },
-     "execution_count": 12,
+     "execution_count": 45,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -897,13 +1002,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 46,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "5adbe68e79aa40bdaf68f8510e3c4a90",
+       "model_id": "6c2c56bd5e144d3b8b0322ab78f8e560",
        "version_major": 2,
        "version_minor": 0
       },
@@ -947,7 +1052,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 47,
    "metadata": {},
    "outputs": [
     {
@@ -956,10 +1061,10 @@
        "$\\displaystyle 1 - \\begin{cases} 1 & \\text{for}\\: \\kappa < \\kappa_{0} \\\\e^{\\frac{\\left(\\kappa - \\kappa_{0}\\right) \\left(\\sqrt{E_{b}} \\sqrt{- E_{b} \\kappa_{0}^{2} + 4 G_{f}} + E_{b} \\kappa_{0}\\right)}{E_{b} \\kappa_{0}^{2} - 2 G_{f}}} & \\text{otherwise} \\end{cases}$"
       ],
       "text/plain": [
-       "<ibvpy.tmodel.mats_damage_fn.GfDamageFn at 0x7fc37ac0c040>"
+       "<ibvpy.tmodel.mats_damage_fn.GfDamageFn at 0x7f31f13bdb30>"
       ]
      },
-     "execution_count": 14,
+     "execution_count": 47,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -972,13 +1077,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 48,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "c758633654a047c18d7452e57b6b0d20",
+       "model_id": "c43a2738b18d4ae0a669157316759ab4",
        "version_major": 2,
        "version_minor": 0
       },
@@ -1003,13 +1108,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 49,
    "metadata": {},
    "outputs": [
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "b9b6111e4b634f11ad64210e733dc7d1",
+       "model_id": "45d40f92cb6d4da8bca0b5f492487caf",
        "version_major": 2,
        "version_minor": 0
       },
@@ -1082,7 +1187,40 @@
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "[![title](../fig/bmcs_video.png)](https://moodle.rwth-aachen.de/mod/page/view.php?id=551838)&nbsp;part 4"
+    "<!-- [![title](../fig/bmcs_video.png)](https://moodle.rwth-aachen.de/mod/page/view.php?id=551838)&nbsp;part 4 -->"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 51,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/jpeg": 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MtxFre0ukQABbsmSZAvvw0wI2qDMtLsKZuBJvOgNJAuvMujqUycMtxFrNyomkX2DMEwCCLjrVTsvcBO56OUP7dOEcLHoTK8Mt5Fp1ctc1rnWBA/u/staurarqVYvLrosusmdOz5fimU4ZXIobqC0ubfE9o0doVBys7huoZJu4M/3WcYw6VUbSLm/xQ3jcjIbMAm83SMJ+98DqVlbLKgmKY40A8Ih2OFwxga8UG8i1cpylzXMDACCYNx1geZPUsZNlDnbmHWZIdNmYlpF46L/BTPPCZ54baIiqiIiAiIgIiICIiAiIgIiICIiAiIgIiICsGAVasbgEGjS97V2jzV6ope9q7R5q9BVXyhlOC9wbJi/94dKxV95S2laOcc1uqVW1WOh0WCHXtg6QNOzAraZRFM0GAkhtwJMnBBr5/wDeZL+Z5tXZXGz/AO8yX8zzauytb9ldd2NO+2mzKwsosmwsIiDnVstcx722QQGgi+NszdHTKsq5XZphwbJIBi8RIJvunRGGJChXyt7XuApFwa2RGLjqHhtVYy55LobAaWyQHG42LUgjU4/7UEhl7rUbl96JtaOsY9CU84lzmixi6yb8LmnVjwrx0KTcreX2RTjh2ZMwBw78P7R/uClklUupuJpWDfwdd2np0LrMeznE+6WUVntcLIBbYc44ySIAHxVjKvAtO4N1/RGKqZVcKRcadlw+7JPkqclypxcbdOzDZLoN+GAif+lJXHNccoeHPbZaSHANEkXEAybtc9ig3LpdBAbw7N5xEHzGCw7KntL+Dah0AAGY5WHX+tyzTytznC6G2y0kSQRwgNGsDo4SuHOVtKqXUnFwBN4LZuum4yqDl7iDZp32C4SbpE3AYkXYjWFhuVPcLW4mQ1ztM3BpDRdjLiP/ABKy/K32QQADZJi8zwwPDxTorNfK3NBs2YDWmYkCbUnESOCAMMVZlJLmMIa0kubxxxZOMa1U3LKhmKJLrIIEkY43xdjh+sQZlbwXfyvvwSAZgud0Xm4Ya+2Ok35Q4lpcwN4cAGZNxIiQNIGvFW5JlJe0W4DjMRIkCJMdEgK9jw6YvgkdYuKop5Q51HdLEOg8G/X4KT1T1yrr5a5lR7bBLQ0EHQSTET8b4u64oGdzE7nFwuLjIlgdBuuN8DHAq2nlzyBwIcQODfcS+yTMar1OhlD3C0aBFwcIImSBOMYSexIhVmS5Vuj3tsltg467yOri/ELWyfL6rmyaUmdFoRwQYwN8kjEYK6jUL3PFRtwdDbjrIjsAPWrKFebnHhWnAXEYE+UJEpEq2ZS40S4xbgkXGCAYmNWGlUHLqkPMNEMtCQb4iDjgZIHmtx1Yiq1lm4iZ6dR1fvr16+XVGPe0UiQ2IIm8mOhc4lMT7thrg9z2kBzWkEXTiJ7dPWFa1oGAjYtJuWVDNmidGJImRfo0YK3Ja7nF1sRwoFx6bvhj0rp02ViyJnTrWtRyhxLAYMl4N0XNNzvD/cFtICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICsbgFWrBgEGjS97V2jzV6ope9q7R5q9AVNX3lLaVXlWUOYYBaLhiB063DUpEy+idZ8kGrn/AN5kv5nm1dlcvPO528n3Qvm3wbMYyMZ0YLqLW8/hXVlSPztoysLKwsmosrCIOfXymo1zg2naAbIx4R1A4DVfhjgqxlbyXQ0gNLZIY7+y1IIvuc7C8WVZUzpRa4tL4IMHDR1qP8Xocvw+q64Lezjjr7pNyiqX2bEC3EkOgDhdvFbfhwxqvnkuUOc2ajCwkwBDrrpvu2icD8FV/GKHL+I+qfxihy/D6q/Tt7H1Ke4Mpqloht9iZLTxodou0tH+7tn7TUkixNwIMOEkxf8AE3Y3KH8Yocvw+qfxihy/iPqrwW/qnHX+yRyqoHObYMAgWrLo0yY03gYa1IVXggGL6pbc0iGw4jbMAT0qv+MUOX8R9U/i9Dl/EfVOC3scdf7NnJnlzZPKcNoDiAewBWrR/i9Dl+H1T+MUOX8R9VPp29l+pT3byLR/jFDl+H1W5bvMNcYuujzK5msx1h1FonpKSiWAmYE64vS0eQ75fqlo8h3y/VRUkUbR5Dvl+qWjyHfL9UEkUbR5Dvl+qWjyHfL9UGSARBEhAALgIHQsWjyHfL9UtHkO+X6oJIo2jyHfL9UtHkO+X6oJIo2jyHfL9UtHkO+X6oJIo2jyHfL9UtHkO+X6oJIo2jyHfL9UtHkO+X6oJIo2jyHfL9UtHkO+X6oJIo2jyHfL9UtHkO+X6oJIo2jyHfL9UtHkO+X6oJIo2jyHfL9UtHkO+X6oJIo2jyHfL9UtHkO+X6oJIo2jyHfL9UtHkO+X6oJIo2jyHfL9UtHkO+X6oJIo2jyHfL9UtHkO+X6oJIo2jyHfL9UtHkO+X6oJIo2jyHfL9UtHkO+X6oJKwYBUF8CS10D8P1V4wQaNL3tXaPNXqil72rtCvQFTV95S2lQyjLqVJzW1KjWl2AJ23nULsVOr7yltPgg0/tB7zJfzPNq7K432g95kv5nm1dla37K67saeZbTZlERZNmEREHjssZ/qKxNJzwXmOMNPQo5BFOoXVaLntskWbM3nTevXZNxT+J3/ACKsdMXRPSvXH8n8eHHy8k/xfy4s/DxtR0VXOp0ajWECGwQRgTr1fFRJw/kHC/g/ovY1bdg2eN+9apc2s6kRIa+0IMxcCJ0HROhPuf18p9p+/h5WoQW3UDJB+6bukXLAcdNAm7k/ovYZM2oGndCCZujV2K1Puv8APyn2n7+HinuJ/wDhOibjfEah0KQfp3AzPJ/TYvZon3Mf1+T7T/Xw8UHf/nJ/8T9Fr7i/kO/2le9RdR/Lx0r8pP8ADz/18PBbi/kO/wBpXtWnjfi8gra3EdsPgoUmza/F5BY+N40+Ljk38HwfpZ59Wjk+cbdZ1Lg8GcKkm4xhFy3K9WwwuvMNmBiYV259JQ0wsG7kZkzv7W17gwsDSAJJvBAcDeBoIOwhbeccrNGm+pZLoi4dJiTqAxJ1Bbe5BZNNBVReXQYInQcVrZblhotBsPfJAhvSQO2/Bbwpwsbl0oIg3FaBzgRlIo2HYTPZwo5N8TruXS3NY3IIIzcFp5JlpqWb28JlqGuktwuPb8Fv7msbkg18srFjC4QSIxMC8gXnrVWbcs3dlvC+LjOgEfAi5bxphBTQSREQEREBERAREQEREBERAREQEREBERAREQEREBERBCtxHbD4KTOKNijW4jth8FJmA2INKl72rtCvVFL3tXaFeg5Wdcz+0ukvDYbDeCJmcSdIjQtzcw11BoJIBi8knDWVsqmr7yltKDT+0HvMl/M82rtLi/aD3mS/mebV2lrfsrruxp5ltNhERZNmEREFWTcU/id/yKuVOTcU/id/yKuQFF5IBIvMXKSINWlWqOa+WQ4C6cCb1U6rlMEimwm6Bht0/Dpxuv30QaNDKapcbdOGAkTBnRgMSJm+FbkrqpLt0Aj7p09d/wC4WyiAiIgrrcR2w+CjQ+9+LyClW4jth8FGh978XkEFyIiAiIgIiICIiDCysIgLKwsoCLCIMosIgyiIgIiICIiAiIgIiICIiAiIgIiICIiAiIghW4jth8FlmA2LFbiO2HwWWYDYg0qXvau0K9UUve1doV6AqavvKW0q5U1feUtpQaf2g95kv5nm1dpcX7Qe8yX8zzau0tb9ldd2NPMtpsIiLJswiIg1GNeZs3C077/9xn7qlYqa/n/xVmTcU/id/wAirUGtudTX8/8Aim51Nfz/AOKsfXDXsYcXTGGha7s5saYIcOFZB4N5mNeCCzc6mv5/8U3Opr+f/FWUaoqNa4TB7VRQyxry0AG91njYcEuBPZG2dSCe51Nfz/4pudTX8/8AitiyOntKWR09pQa+51Nfz/4pudTX8/8AitiyOntKWR09pQatRlSyZwgzw/8AFXUPvfi8gq6j73tuuadN+BVlD734vIILkREBERAREQEREGFlYRAQlRc/DpPkofeOweaBakdZ8VhrjJv0+QUQ4xcLpPiVhrr3SDjt0BBbul8KVsKgOBdcdB8ll+jaPFBsAoqUY8wNiC9FU2rjcph4QSRYRBlFhEGUWEQZRYRBlFhEGUWEQZRYRBlFhEEa3EdsPgsswGxRrcR2w+CkzAbEGlS97V2hXqil72rtCvQFTV95S2lXKmr7yltKDT+0HvMl/M82rsrjfaD3mS/mebV2Vrfsrruxp5ltNhERZNhERBVk3FP4nf8AIq1VZNxT+J3/ACKtQYcARBEhZARUkPDyZtNODRF2F/j8EFjtCSf2P1UKDXhjRUIL9JH/AEFpvySuZipA0cN3KmJjTdsiBiUG9J/Y/VZk/sfqstwEmSsoIyf2P1ST+x+qkiCmrxXbDo6Fmh978XkFXVaZedBadJ1HRgrKH3vxeQQWoiICIiAiIgIixa0IMqp7pYT0LIN52+QVRdwCBeYPVignUMFu3yKwGy4zqF3bislt4OJnHqKwXcIgauoYoFoAXmLz4rDcXbfILLGwDrk+K0a2XU2Oc0AudODNmk4IZbrgC4TfcfJYe3CCReP3euWc5VLVzGja4nwAQ51qCJptIn7riD8QriU4odUz0H4LDXXCQRd+8FrZPnKnU4N7Hcl13ZoK224DYorDCDMa/JPvDYfJYDQZkaUs8K4nDbqQSebv3rU7RVT5jQbx4rNvXIQWNqyMFIPCppm5PvHZ9UGwEVGR4POt5+F3kr0BFXVrNZE2r+S1zvAFTY8OAIwKDKIiAiIgIiICIiCFbiO2HwUmYDYo1uI7YfBSZgNiDSpe9q7Qr1RS97V2hXoMKqr7yltKtVVX3lLaUGnn/wB5kv5nm1dlcbP/ALzJfzPNq7K1v2V13Y08y2mwiIsmwiIg16NZrYaTe5746YcSVM5S2zUN53ObQAvuEx2R2qNGk1zbxeHvg6RwjgdCmKDdW2837dfWgm5wAkkAdKh7RT5bf9wVhEqO5t5I7EEDlFPlt7QtDJM9UatQsgt1F0QY8F0tzbyR2LVyfNVGk8vay86zIGwLuvDieLr6M7ceY4enq2G1aZMBzSdoVlkalgMGodikuGjXq5QxhIIwbaJi7T9ClCu15IDSCADeBpkfAghWuptJktBMRJAw1Iyk1vFaBOoAYYIMVgLDth8FGh978XkFKtxHbD4KND734vIILUREBERARFXVw6x4hBlzrx0nyUSeF1HyR5izt8iokS4TqN3YgNMl0XCcerQsRDHdfmpWoJ6lENlpnpu6ygy+TGgT1lZuB1CFh7rhrkKjLK25i1i4iGoNPOGVm9jTF5mMdi5dB4Bc0kWp06ZU7V5xJm9amUjhbVpWGdpbxdfqQmY2rmWiMCRsJCjWcYkknaSVZ5OIlvvqBzg0XkGSdUY/TrXayGtIDTcdBXAzdTi0dQhdFjiI6NSkRy5uuLnydloN94N+lLV94OG1V5NXDmzgZvVo43Us2rDnA6dI8VNRqCQJ1hZs6iR++lBFjQQLtCBvCMHQMb9aMmyMDdsQOvMgjBBHIy4U3kxx3wQCfvHR5LUdlmUWZFMzAMbm642JA63XHVp1rdzc8Opy0gi2+8GfvlZo5dSeQGuknC47fAE9MFBqZ7eP5dNwlriSRLQTEYWjBiZ04dMrpNEADoWlltAVSwgjgyYLiLwcYvBgjSFvNmBOOmEBFlEGEWUQYRZRBhFlEFdbiO2HwUmYDYsVuI7YfBZZgNiDSpe9q7Qr1r0ve1doWwgKmr7yltKuVNX3lLaUGnn/AN5kv5nm1dlcbP8A7zJfzPNq7K1v2V13Y077abCIiybCIiDVYH8EtPBD32hpPCMR1pFUtqAyC6Qw8HgiLiY0z8IVuTcU/id/yKtQYfMcGJ6cFVFXXT7D9VLd2Q42hDeNfgoe20uW3GLzpFx8EE2B334J0WQVGKutnYfqpteHAFpkHSFWzKWOdYDja1RHl0HsKCTRUkSWRpgGfFXKMdJ+CR0n4IKatN5e1wcLIm68f9rGS0Xt477V0Yk3zir46T8EjpPwQRrcR2w+CjQ+9+LyCjVfc9t/FPgpUPvfi8ggtREQEREBVVzcY2q1V1uKdhQRLYg4mcUceEAMYPVgsPMi7CRf16FkgAjVegNEOOuB5rAOIGs36kF7joEDacVlsCdAlBgABoOySuFl2U7rVkcUCB09K3M5ZRFNrNJAkdHTtXOLTIuOGrYrDmUW3dqqygXTqPkthtE33E36lF+TOLXaF3HVxPRziL1VUxaOnwWyaRnEKpzBbEzcFbzyc1hvZFdTJjGfotppVlKg0UwNTdatNBpTK4MirWHX4E3/AFXSsi0dF2jrXI3AgXaz4reyKuTIMEgDsvXNo9XVZ9Gy4G6+b9KyXEYjsvWHOwm6/TsKkTcVw0RpuEATfCk3E7fIIBIAKi1l5gkX+QQSyH3TDrE9qhQzdSpkFoMjC8nAED4EjrUcjD/ZGQQX7kLJIgTZulQyEV7f82bMHk6xZwJM8ab4vCA6laFMgsbatDhNkmZwggi612rdpsDWhowGC0HVWjcg9tNxs2qYLgHE3C6fxLotNwm5BlERAREQEREBERBCtxHbD4LLMBsWK3EdsPgsswGxBpUve1doV6ope9q7Qr0BU1feUtpVypq+8pbSg08/+8yX8zzauyuNn/3mS/mebV2Vrfsrruxp5ltNhERZNhERBVk3FP4nf8irVRTLmgiwTwnG4t0uJGnpU90d/Td2t+qDDsnaZ0A4gabyfMqHsFK7gAQZu6/qrN0d/Td2t+qbo7+m7tb9UGWUgwANEAaFBmTtaZDROuTpv8z2lS3R39N3a36pujv6bu1v1QTk6kk6lDdHf03drfqm6O/pu7W/VBOTqSTqUN0d/Td2t+qbo7+m7tb9UEarLnGPunwWaH3vxeQWKj3FpG5uvGtv1WaH3vxeQQWoiICIiAq67ZB2YKxQqG6ImUEKjrhtHiFgiS2deHUViODOJgKTzeAMZ7LigOdDtZIVbnhkk3um4dQU3ENMnVeexc19Qvc46J8hgiKtAOLjEnsU4APUfJRkBg6llw0m6NH70qowDeb4vRs3nELMk4i794pI0Y9naqOVUudBuiVVRbaqxrIC2srYQ86ZvVWbWWqpOgEmR2K26w4j1dd4EHYpAdPaoHAwZU7WsIo0mMNJw2rAPCkXG7zWaZHxPisjE7B5oNxtQOs7fIqT2iDdoWjgQRdfo2LZFYlpF0wuZh1EroOvtUC8gOJGE4dAU7WsEKqs/wDlVCNDXHxUdLcnqtbk7HGQ1rBMgiIGoqGSZxZWIDQ4S21fGppIuJvAe3ovW00Q0DQAososaZa1oMRIAFwwCCmpScwDcha0AOIgDbj4rZExfitOu4buww6WDARBtSNc6+xbiDKIiAiIgIiICIiCFbiO2HwWWYDYsVuI7YfBZZgNiDSpe9q7Qr1RS97V2hXoCpq+8pbSrlTV95S2lBp5/wDeZL+Z5tXZXGz/AO8yX8zzauytb9ldd2NPMtpsIiLJsIiICIiAiIgIiICysIgyiwiAq6OL/wAXkFYq6OL/AMXkEFiIiAiIgLDllReJxQUTNPULOOu5TfAjQAVEn+X1KvKqlloP3iRHReg18sqWngaADdrwxVFqCdc+QWHuvHn1LBEYG8quWAYF6y1oN89mAWROkTsWCQ4+enqQZJOAg+SzdF47UiNPbegnSOxUaeXMmy4YYKvNAIa50TJuV2W1WFhgi0NE39axmwtbSYLTbRvgm9SZ5wjcu049KzBOBuWJJ0XdGlZ4Oi7Z9F0MkQLwIWBtg6isgHHFZkkxF/aERgzIGOxTc0wbiNq2qNBrRwTfpIKledRHZKmXUVYp2tOCqytgNCrI+67bp0q0wMQQejT2KnKQ7cy1pDnPuA1zjeNGK5dNutRJpljSAYgFwtdZnHrVOQ5DuJdBkEAC6+6cTN+MbAFfWc4U3FrQXhpIbNxMXCdqxkj3OYC/GToIkSYMHCRCCFTJAam6WiHDDgsu6JInSdOlbKIgIiICIiAiIgIiIIVuI7YfBZZgNixW4jth8FlnFGxBpUve1doV6ope9q7Qr0BU1feUtpVypq+8pbSg08/+8yX8zzauyuNn/wB5kv5nm1dla37K67saeZbTYREWTYREQEREBERAREQEREBERAVdHF/4vIKxV0cX/i8ggsREQEREBRfMXKSw7BBSxsNOk3rRqtqVbw267HoW6wzdok3aTekHBpu6fJBojJ3YQBr0gditZkAibXWFtWrIvEDov/VRADjPw09aI1/Y50kjsJWH5OAMeohbbpGBk6ijbryDOsXouHNdk5befheFrkF5dN7QYjRtOvYuxc4mz1kLWrZDBLqbgNbXYHpnQelXKYaVYAUniI4JujoVeTuY9jWWhc0S049bToVrnuHGpuHQIP6qFSHiNytbbMefgmOeSMeqcGmWgXtcYs6jE3ditEfex6dGxUUMlLDaLpOgEmG7J/exXl+iNpxVcz+mSNAPmFt5NTLRJEyqMnpAm64DGFtwTqI6bpSViAlrscNE3E/osuBGk7MVlzwMQVW4hotYk3NDdJ1DR19eC5dMVapYJLS5xua1sSegTCzQpMDw99ndnC7QQOSJvhQh1FrqtQte8kNGgNDnAWZ1SZJi+MMANatlLXVG1QCCKYfBcBodiIOAc8TrMIOl7VTuO6MggkcIXgY9kFWNcHAEEEG8EYFcvJ8lD3Pa8ua5t/GaZtFxB4ugufHxXTpUwxoaJMaTielBNERAREQEREBERAREQQrcR2w+CyzAbFitxHbD4LLMBsQaVL3tXaFeqKXvau0K9BhVVfeUtpVypq+8pbUGnn/3mS/mebV2VxvtB7zJfzPNq7K2v2V13Y08y2mwiIsWwiIgIiICIiAiLKDCLKIMIsogwq6OL/xeQVqqo4v/ABeQQWIsogwiyiDCjVZaEAlvSI8wsvdZBJmBqBJ7BetanlwdUsARdILpB0fdIkDhC9BFzKs8JrHtHJuceo3fELByljYBcWE3BrxEnUJx6iqjndoDJDeGGxwxEuMRhh0/BbjMopua1xLRaAucRPCE2dqCInFw2RoRzgbhBPToUfZmObNF9jpYQW9PB4s9SbnUaIhtQdjvjIJ7EEwyMD23rFonRdrCoGUNPGtUxqeIB68OwrYLiBeLuj6IHB6Lu0LAYTfOwG9BDjwuoHQsuEYEzqxCCFZs3Ft+iFpPpQb4J1/vBdBoIxE9IUXEP4PbI8JVymHOvwBUgY0diuq5KW3tJjwUcmYXGSJaPiVUwvo0wR+5VzpGnqN6Oc049hF6g82BaJM4AY9Q6Vy6Yq1tzFp4JOADbyegDElKNFtttSpZ3Vw4OggY2WzeenX2ARZaYDVrAF9zWhui0QA0TgSSJKoyrKWOdTdwwSBZgNvLzLBfpluzWgw+tUioC8GXGIdTmGuJcBP9pbjqPQTmm2uSCDaaXTaFm8EidJ4MT03i7SoZKym/BzgwC1Dw2yQWx8vTr03EbWb64IsSTEkG+8TOoRFoXaiIkIN0ACYGOKyiICIiAiIgIiICIiAiIghW4jth8FlnFGxYrcR2w+CyzijYg0aXvau0K9U0ve1doV6AqavvKW1XKmr7yltQaf2g95kv5nm1dlcb7Qe8yX8zzauytr9ldd2NPMtpsIiLFsIiICIiAiIgIiICIiAiIgKuji/8XkFYq6OL/wAXkEFqIiAiIgLFkallEGlUzc0lpBIg4G+6Q6BOF4CorZM5lsgF0lriYEXOLsAbRvJMagB0rqIg5FB9amxjWtF7JvpvstNkmBeS1oIbdfxrsFPJc6FxcXiGNHIcDMN7ZJdhyV0KtFjxD2tcBocAfFUHIqRtNkybyA4yNmoY9pQT9rplwZPCNwEG/pww6cFE5AwOtMlhiOCYA1mzxZ6YWiciq8MQ+LYeIc2+HyIn+2wBPJPRLdcobVax5N7hJFmOMeuyWiNcjrQblRtVogBlUTp4JA1nEH4KIqtbxrVM6beHbe3sKDObCJDHkGYgAkw22IEze3D4wtulUD2hwwI6Lui5BRaJwgjWPJSluGHQVgZFTA4A3PVYuHZgesKBpVQTex7dAPBcekkXHZAQTsTrA0D9FkktGAOz6Kl+UNYOHapfiw7RLfipPqWW2zDhos6dQGsnagxVrsYLVQgTcAdJODRrJUqWTkHdXTbi5k8Fo1ap1lKDLQ3SqLJgw10cAaZ0TrOGrWdfLAKjWxXIDnGyCI0FugTcSDfpAQWvq1HPLXU5YW8UiRP4sMYu61qC2QP5bQbBkmi4CJwFx6buvSsupbtUeW1L3CQCHcGIaJBGgscYONpy2RklUB1mpBL50wRfeem8Xf2hBrsaarg1rBSFkboIFqRgDGq6IjGQboXUpUwxoaMAsUadkCTaMRaOJGiVYgIiICIiAiIgIiICIsEgdaDKIiCFbiO2HwWWcUbFitxHbD4KFWoW0nOGLWE9gQa1L3tXaFetTInlxc44uDSesSttAVNX3lLarlTV95S2lBp/aD3mS/mebV2VxvtB7zJfzPNq7K2v2V13Y08y2mwiIsWwiIgIiICIiAiIgIiICIiAq6OL/wAXkFYq6OL/AMXkEFqIiAiIgIiICwsrCAqBk0Vd0DiJ4w16tivRBzmU8opgEQ66XMEXuMFxBuMk2/luxUmVbb2ipRFsEiZwEOvF3QP9wW+sWRNqBIETpg6PgEGrlOQtLf5bWteDcbxdILmyMAQ2FrnN9WyGhwgMDbnkSQdhF+JuOq/FdNZQcTJ8udTFR7+FfEBx0BziY+6YujXF963m5a7dA0sAaXltoPnCIujWSOiDetuyNQWvVyO1VbUBALdETyhcdHGPwQbFoawqXUqTDullo6QNd03aenpWmc0zi8YuNzLry4gY4cMzrgYLfyelYY1szA2fDQEGrUqUqpeDTtWWmCYvEXgasVqVMopNiRUNmTiL4Aqun5T1Rt6xosJJLWknG4X3Rf1EhY9mp4WGxd90aMOxBBmSNDmm/gzGGJmSTjpPQthEQEREBERAREQERQNQBwbN5vhBNERAWvlmSNrNDXTwXBwgxe0yFsIgwsoiCutxHbD4KNSnbpOaMXMI7Qp1uI7YfBZZxRsQc7I2WS9pxaGjsELbVFL3tXaFegKmr7yltVyorEB9IkwJKDU+0HvMl/M82rsrjZ64b8nLCHBr5MEXCReur7Qzlt7Qtbz+Fdd2NI/O2myxFX7Qzlt7QntDOW3tCybLEVftDOW3tCe0M5be0ILEVftDOW3tCe0M5be0ILEVftDOW3tCe0M5be0ILEVftDOW3tCe0M5be0ILEVftDOW3tCe0M5be0ILEVftDOW3tCe0M5be0ILFXRxf+LyCe0M5be0KulWYLUvbe7WNQQbCKv2hnLb2hPaGctvaEFiKv2hnLb2hPaGctvaEFiKv2hnLb2hPaGctvaEFiKv2hnLb2hPaGctvaEFiKv2hnLb2hPaGctvaEFiKv2hnLb2hPaGctvaEFiKv2hnLb2hPaGctvaEGXVmgFxcIBg6b9W1YdlLAYLhN3zYdsFa7qOTkzLZmZtmZN91+tSLaJjhNuj73JkjT0oL2V2OwcDdax0HTsuR1ZoAJcIJgbf2CqGNotdaa5oMRNrEdKrp5Pk7Q0S24ATavMa0G0coYCRaEiZv1CT8CEZXYQSHCBj9VU4UTMuaZxl3RHgAoNp0A1zQ8WXCCLfVr1BBsms0Wb+NxYvB04qv22nyromYMRtUGCiDIc2ceNp144qIo5OGloLQDiLeN5OvpQbVKq14lpkKa1qLqVMWWuaB+JWe0M5be0ILUVXtDOW3tCe0M5be0ILUVXtDOW3tCe0M5be0ILVWKLbVuOFrWPaGctvaE9oZy29oQWoqvaGctvaE9oZy29oQWoqvaGctvaE9oZy29oQWoqvaGctvaE9oZy29oQSrcR2w+CyzijYqqtdha4B7cDpCy3KGQOG3DWEGtS97V2hXrXokGpVIvEhbCAtPKcoAeGFlq6Rp/60L5jvzzjzju6XpTfnnHnHd0vSg+kHLWf0TIFoiyJjZrWw0NcG3NZLbXCAPVqXy/fnnHnHd0vSsH7ZZxOOUd3S9KD6MK/9rD/AOIXRFFvIb2BfKN+OcP64/8AVS9Kzvzzjzju6XpQfUWs/mFu5tsgXGzs09Z7OlcB+dqgy1tENommaxYYZwmi1ZvM4nYvG7884847ul6VDfdl8zuzZxncqU/8UH1bchbiy2zZ5N8zr6j8Fpbq72nc9ybY/DfEcaf3qxXznfnnHnHd0vSm/POPOO7pelB77PIitRa2Wh2IaYm8alpZUC0N4T2yHfeOgSMeleGyn7S5ZVINStaIuHAYPAKj+NZT/U+Vn0Xr8PxqViIn0ePxPBva0zE9X1XN1+SMdZDnTiRaMWoJ1mAraTnEOtUQCGyODEnT+5XzCh9rcvptDGV4aMBudPbyVZvzzjzju6XpXmvMTaZh6qRMViJfSqFRzngOycBp0xhdpkfRXZTwLNmkHziAL9HRtXy/fnnHnHd0vSm/POPOO7pelcun0qnVJcAcmIBIExhOOjQsVnvA4NFpkAzZOMkEXdEFfNt+ececd3S9Kb884847ul6UH1LJ2h7ZdSDDOBAlYylllhLGNLrsWzpvuF6+Xb884847ul6U355x5x3dL0oPpO7Ogxk141jGI6Onp06lJlaS8bi2WRdecZ/t6J046F80355x5x3dL0pvzzjzju6XpQfSX13AOd7MIAn9OKsGs+T/AKadOGPRh+9S+b7884847ul6U355x5x3dL0oPp2TG2TaohgAESL5Mzo6B2q2vThjyxjS8NNkEXTFy+Wb884847ul6U355x5x3dL0oPpBrPh3+nGttx6pgH99ZVrXEsJ3EMIIEFs3TeYGPUvmW/POPOO7pelN+ececd3S9KD6UKjsPZwbrzEfCD49eKxuzrv9NeRN2joPBXzbfnnHnHd0vSm/POPOO7pelB9PyfhOdapBgAEXYm+dHQO1VZc/cy2GtAMXloO3yuxOjBfNd+ececd3S9Kb884847ul6UH1SnSBaC5jQ6LxAuMXhUMcXD3IBsTJaRwoF0EdPwXzLfnnHnHd0vSm/POPOO7pelB9Oq3WbNMHGeBN4jg6I03m65Ra5xAO4gS8CLJ4t0nRGk3jQvme/POPOO7pelN+ececd3S9KD6pRpgtaXMaHECRGB0rS3dzadp9Fuibi2J0XjR5hfON+ececd3S9Kb884847ul6UH0gVXyB7ONJw0QbsMcFOo5wfDaIc3CY0zdfqgE4aQvmm/POPOO7pelN+ececd3S9KD6UKrsPZo8NOF3QgqkmPZwMJMGBrxbsXzXfnnHnHd0vSm/POPOO7pelB9TDBudqw21ZmI0xgq2EFrZay1PDEYC++MRoxXzDfnnHnHd0vSm/POPOO7pelB9Lq1CC6zRa9oIggYiATgL75HYo1K5b/8AzjGJgxiByelfNt+ececd3S9Kb884847ul6UH0ptVxxyezwgDaGiRJuGqUq1CHOLaQe0YBrcbhfawN5IjoXzXfnnHnHd0vSm/POPOO7pelB9JfXLRJyfVhsvm66FmnWDmuO5NabMsnB5jRcOjtXzXfnnHnHd0vSm/POPOO7pelB9JNRwHuATrDSBf0ETrx6NaGq6T/p7gOScdOjq/RfNt+ececd3S9Kb884847ul6UH01zuB7trXyLrNowYkwIJiT2KtlV5icmE6ezRdtXzbfnnHnHd0vSm/POPOO7pelB9HGVEmz7NfiRpAnHDBW1Xw6GUmvbyhr6gvme/POPOO7pelN+ececd3S9KD6Ruz+b/Kb9lyk6qQx7jQHBAIEHha9F372L5rvzzjzju6XpTfnnHnHd0vSg+lDKXi1YoRFxxxuOAE6duNy3qbiWgkQSLxqXyffnnHnHd0vSm/POPOO7pelBwUREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQf/2Q==\n",
+      "text/html": [
+       "\n",
+       "        <iframe\n",
+       "            width=\"400\"\n",
+       "            height=\"300\"\n",
+       "            src=\"https://www.youtube.com/embed/JlDb5Nj6W3Y\"\n",
+       "            frameborder=\"0\"\n",
+       "            allowfullscreen\n",
+       "            \n",
+       "        ></iframe>\n",
+       "        "
+      ],
+      "text/plain": [
+       "<IPython.lib.display.YouTubeVideo at 0x7f31f0f72ca0>"
+      ]
+     },
+     "execution_count": 51,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "YouTubeVideo('JlDb5Nj6W3Y')"
    ]
   },
   {
@@ -1126,7 +1264,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 52,
    "metadata": {
     "slideshow": {
      "slide_type": "fragment"
@@ -1145,7 +1283,7 @@
        "╲╱  sₓ  + s_y  "
       ]
      },
-     "execution_count": 17,
+     "execution_count": 52,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1165,7 +1303,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 53,
    "metadata": {
     "hide_input": true,
     "slideshow": {
@@ -1176,7 +1314,7 @@
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "2e610e5a43d44874a0d4b58381794a0c",
+       "model_id": "447ea461e8a948a08b9abdec310f6e9f",
        "version_major": 2,
        "version_minor": 0
       },
@@ -1328,7 +1466,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 54,
    "metadata": {
     "hide_input": false,
     "slideshow": {
@@ -1339,7 +1477,7 @@
     {
      "data": {
       "application/vnd.jupyter.widget-view+json": {
-       "model_id": "5005c43b201c4603884ba39b420803b2",
+       "model_id": "024b851bf7154e13993ece88d55f5cd9",
        "version_major": 2,
        "version_minor": 0
       },